Prime Factors of 3159

Steps to find Prime Factors of 3159 by Division Method

To find the primefactors of 3159 using the division method, follow these steps:

• Step 1. Start dividing 3159 by the smallest prime number, i.e., 2, 3, 5, and so on. Find the smallest prime factor of the number.
• Step 2. After finding the smallest prime factor of the number 3159, which is 3. Divide 3159 by 3 to obtain the quotient (1053).
  3159 ÷ 3 = 1053
• Step 3. Repeat step 1 with the obtained quotient (1053).
  1053 ÷ 3 = 351
  351 ÷ 3 = 117
  117 ÷ 3 = 39
  39 ÷ 3 = 13
  13 ÷ 13 = 1

So, the prime factorization of 3159 is, 3159 = 3 x 3 x 3 x 3 x 3 x 13.

Steps to find Prime Factors of 3159 by Factor Tree Method

We can follow the same procedure using the factor tree of 3159 as shown below:

So, the prime factorization of 3159 is, 3159 = 3 x 3 x 3 x 3 x 3 x 13.

What does Prime factor of a number mean?

A prime number in mathematics is defined as any natural number greater than 1, that is not divisible by any number except 1 and the number itself. When we express any number as the product of these prime numbers than these prime numbers become prime factors of that number. Eg- Prime Factors of 3159 are 3 x 3 x 3 x 3 x 3 x 13.

Properties of Prime Factors

• For any given number there is one and only one set of unique prime factors.
• 2 is the only even prime number. So, any given number can have only one even prime factor and that is 2.
• Two prime factors of a given number are always coprime to each other.
• 1 is neither a prime number nor a composite number and also 1 is the factor of every given number. So, 1 is the factor of 3159 but not a prime factor of 3159.

Frequently Asked Questions

• Which is the smallest prime factor of 3159?

  Smallest prime factor of 3159 is 3.

• What are the factors of 3159?

  Factors of 3159 are 1 , 3 , 9 , 13 , 27 , 39 , 81 , 117 , 243 , 351 , 1053 , 3159.

• What is prime factorization of 3159 in exponential form?

  Prime factorization of 3159 in exponential form is 3⁵ x 13.

• Is 3159 a prime number or a composite number?

  3159 is a composite number.

• Is 3159 a prime number?

  false, 3159 is not a prime number.

• What is the sum of all prime factors of 3159?

  Prime factors of 3159 are 3 x 3 x 3 x 3 x 3 x 13. Therefore, their sum is 28.

• What is the product of all prime factors of 3159?

  Prime factors of 3159 are 3 x 3 x 3 x 3 x 3 x 13. Therefore, their product is 3159.

• What numbers are the prime factors of 3159?

  Prime factors of 3159 are 3 , 3 , 3 , 3 , 3 , 13.

• What is the sum of all odd prime factors of 3159?

  Prime factors of 3159 are 3 , 3 , 3 , 3 , 3 , 13, out of which 3 , 3 , 3 , 3 , 3 , 13 are odd numbers. So, the sum of odd prime factors of 3159 is 3 + 3 + 3 + 3 + 3 + 13 = 28.